# Algebra and Trigonometry

Mathematics

## Quiz 4 :Exponential and Logarithmic Functions

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Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)
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E

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Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.
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A

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Find the exact value of without using a calculator.
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A

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Condense the expression to the logarithm of a single term.
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Simplify the expression .
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Rewrite the exponential equation in logarithmic form.
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Evaluate the function at . Round to 3 decimal places.
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Rewrite the logarithm in terms of the common logarithm (base 10).
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Rewrite the logarithm in terms of the natural logarithm.
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Solve the equation for x using the One-to-One Property.
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Identify the value of the function at . Round to 3 decimal places.
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Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
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Write the exponential equation in logarithmic form.
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What is the value of the function at ? Round to 3 decimal places.
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Rewrite the logarithmic equation in exponential form.
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Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
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Condense the expression to the logarithm of a single term.
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Identify the x-intercept of the function .
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